N170 effects during exact and approximate calculation tasks: an ERP study

How negative emotions influence arithmetic problem-solving processes: An ERP study

We investigated the effects of negative emotions on arithmetic performance using ERPs. Participants were asked to verify complex multiplication problems that were either true (e.g., 3 × 23 = 69) or false (e.g., 5 × 98 = 485). Half the problems were five problems (e.g., 5 × 94 = 470) and half were non-five problems (e.g., 8 × 63 = 504). False five problems violated arithmetic rules (i.e., the five rule, e.g., 5 × 17 = 87, the parity-rule, e.g., 86 × 5 = 435, both the five- and parity-rules, e.g., 5 × 42 = 411) or no arithmetic rules (e.g., 13 × 5 = 45). Problems were displayed superimposed on emotionally neutral or negative pictures. Behavioral results showed that negative emotions (a) did not affect participants' performance on true five and non-five problems, (b) influenced arithmetic performance on false five problems, and (c) impaired performance on problems that violated both the five- and parity-rules but improved performance on false five problems violating no arithmetic rules. Electrophysiological data revealed that negative emotions led to (a) earlier P1 peak when participants verified true, non-five problems, (b) lower P300 and P600 amplitudes in central brain regions when participants verified false five problems that violated no-rule, (c) earlier N2 peak latencies in central brain regions and larger LPC amplitudes in right parietal regions while participants verified parity-rule violation problems, and (d) earlier N2 peak latencies in central brain regions and later N2 peak latencies in the right prefrontal brain regions while participants verified false, five problems violating both the five- and parity-rules. These findings demonstrate that negative emotions significantly alter key stages of arithmetic problem-solving by modulating neural activity related to encoding, detection of rule violations, and strategic execution, as evidenced by changes in the amplitude and latency of ERP components such as P1, N2, P300, P600, and LPC.

Early threat perception is independent of later cognitive and behavioral control. A virtual reality-EEG-ECG study

Research on social threat has shown influences of various factors, such as agent characteristics, proximity, and social interaction on social threat perception. An important, yet understudied aspect of threat exposure concerns the ability to exert control over the threat and its implications for threat perception. In this study, we used a virtual reality (VR) environment showing an approaching avatar that was either angry (threatening body expression) or neutral (neutral body expression) and informed participants to stop avatars from coming closer under five levels of control success (0, 25, 50, 75, or 100%) when they felt uncomfortable. Behavioral results revealed that social threat triggered faster reactions at a greater virtual distance from the participant than the neutral avatar. Event-related potentials (ERPs) revealed that the angry avatar elicited a larger N170/vertex positive potential (VPP) and a smaller N3 than the neutral avatar. The 100% control condition elicited a larger late positive potential (LPP) than the 75% control condition. In addition, we observed enhanced theta power and accelerated heart rate for the angry avatar vs. neutral avatar, suggesting that these measures index threat perception. Our results indicate that perception of social threat takes place in early to middle cortical processing stages, and control ability is associated with cognitive evaluation in middle to late stages.

Estimation Strategy Utilization Is Modulated by Implicit Emotion Regulation: Evidence from Behavioral and Event-Related Potentials Studies

A large number of studies have studied the influence of emotional experience on an individual's estimation performance, but the influence of implicit emotion regulation is still unknown. Participants were asked to complete the following tasks in order: idiom matching task, multiplication computational estimation task (MCE task), gender judgment task (GJ task), and emotional experience intensity assessment task. The words matching task was adopted to achieve the purpose of implicit emotion regulation (implicit reappraisal and implicit suppression). Behavioral results showed that implicit reappraisal and implicit suppression equally contributed to improving an individual's estimation speed (but not ACC (accuracy)). The MCE task related ERP (event-related potential) results showed that the influence of implicit emotion regulation on estimation consisted of two phases. In the first phase (encoding phase), implicit reappraisal both enhanced (larger P1 amplitudes) and weakened (smaller N170 amplitudes) an individual's encoding sensitivity, while implicit suppression enhanced an individual's encoding sensitivity (larger P1 amplitudes). In the second phase (estimation strategies retrieval phase), implicit reappraisal (but not implicit suppression) cost more attention resources (larger LPC2 and LPC3 amplitudes). The present study suggested that both implicit reappraisal and implicit suppression contributed to improving an individual's estimation performance, and the regulation effect of implicit suppression (vs. implicit reappraisal) was better.

Different Language Modalities Yet Similar Cognitive Processes in Arithmetic Fact Retrieval

Does experience with signed language impact the neurocognitive processes recruited by adults solving arithmetic problems? We used event-related potentials (ERPs) to identify the components that are modulated by operation type and problem size in Deaf American Sign Language (ASL) native signers and in hearing English-speaking participants. Participants were presented with single-digit subtraction and multiplication problems in a delayed verification task. Problem size was manipulated in small and large problems with an additional extra-large subtraction condition to equate the overall magnitude of large multiplication problems. Results show comparable behavioral results and similar ERP dissociations across groups. First, an early operation type effect is observed around 200 ms post-problem onset, suggesting that both groups have a similar attentional differentiation for processing subtraction and multiplication problems. Second, for the posterior-occipital component between 240 ms and 300 ms, subtraction problems show a similar modulation with problem size in both groups, suggesting that only subtraction problems recruit quantity-related processes. Control analyses exclude possible perceptual and cross-operation magnitude-related effects. These results are the first evidence that the two operation types rely on distinct cognitive processes within the ASL native signing population and that they are equivalent to those observed in the English-speaking population.

Arithmetic performance is modulated by cognitive reappraisal and expression suppression: Evidence from behavioral and ERP findings

Previous studies have shown that negative emotional experiences are detrimental to individual's arithmetic performance, and no study has investigated whether such negative influence can be improved through emotional regulation. This study aimed to explore the relationship between emotion regulation and individual's performance in completing arithmetic problem verification task. Participants were asked to complete arithmetic problem verification task using the down-up strategy (e.g., doing 30 × 70 = 2100 for 34 × 67), under neutral, happy, and fear priming conditions, during which they were asked to regulate their emotional experience by using cognitive reappraisal or expressive suppression. Behavioral results showed that, under happy priming condition, cognitive reappraisal (but not expression suppression) contributed to improving individual's estimation speed. Additionally, under happy and fear priming conditions, cognitive reappraisal (vs. expression suppression) reduced individuals' emotional experience intensity. The arithmetic problem verification task-related ERP results showed that the P1 amplitudes elicited by using cognitive reappraisal (vs. freely view) were larger under happy and fear priming conditions, but the P1 amplitudes elicited by using expression suppression were larger only under happy condition. Meanwhile, the corresponding N170 amplitudes were smaller when using cognitive reappraisal and expression suppression (vs. freely view). Additionally, using cognitive reappraisal (vs. expression suppression) cost less cognitive resource (smaller LPC amplitudes). The present study indicated that both cognitive reappraisal and expression suppression contributed to improving individual's arithmetic performance, and the regulation effect of cognitive reappraisal was better than that of expression suppression.

Implicit happy and fear experience contributes to computational estimation strategy execution: Behavioral and neurophysiological evidence

Previous study have explored the influence of explicit emotion priming on computational estimation strategy execution, but the corresponding influence of implicit emotion priming still remains unknown. The present study aimed to solve this problem. Participants were asked to complete two-digit multiplication computational estimation task, under different implicit emotion priming conditions (gender judgment task). In the two-digit multiplication computational estimation task, the computational estimation question was presented in the middle of the screen, meanwhile, two alternative answers were presented side by side at the bottom of the screen, participants were required to select which answer is correct, by using the down-up strategy (e.g., doing 30 × 50 = 1500 for 34 × 46). Behavioral results showed that the response speed under implicit happy and fear (vs. neutral and angry) priming conditions was quicker, and the accuracy under different priming conditions showed no significant difference. The ERP results showed that the influence of implicit emotion priming on computational estimation strategy execution consisted of two phases: in the first phase, the N1 amplitudes elicited by completing the multiplication computational estimation task were smaller under implicit fear (vs. angry) priming condition; in the second phase, the corresponding P2 amplitudes under implicit happy (vs. fear) priming condition were smaller. The present study indicated that implicit happy and fear experience contributed to complete computational estimation tasks, suggesting that implicit negative emotional (e.g., fear) experience was not always detrimental to computational estimation strategy execution.

Aerobic fitness relates to superior exact and approximate arithmetic processing in college-aged adults

BACKGROUND

Aerobic fitness relates to superior math achievement, but the underlying reasons remain unclear. This study tested how more efficient processing (efficiency hypothesis) or enhanced allocation of cognitive resources (resources hypothesis) underly fitness-related differences in arithmetic cognition in a sample of 138 college-aged adults.

METHOD

Participants completed an arithmetic task while pupillary measures were recorded prior to an aerobic fitness test.

RESULTS

Higher aerobic fitness was associated with shorter reaction time for all problems and greater pupillary reactivity for problems requiring approximate and exact arithmetic.

CONCLUSIONS

Superior aerobic fitness relates to greater cognitive resources available to execute exact and approximate arithmetic faster. Fitness-related differences in math achievement may be driven by the cognitive resources underlying arithmetic strategy. These differences may extend beyond educational achievement and affect the motivation to engage in health behaviors based on quantitative information. Thus, improving cardiovascular fitness has the potential to also ameliorate health numeracy.

Emotional valence modulates arithmetic strategy execution in priming paradigm: an event-related potential study

Combined with the prime paradigm, the present study aimed to explore the influence of emotion (anger, fear, happiness, and neutral) on performing multiplication estimation. Participants were asked to complete a two-digit multiplication estimation task using the down-up strategy (e.g., doing 20 × 80 = 1600 for 24 × 79). Behavioral results showed that the reaction time for completing multiplication estimation tasks under happy conditions was shorter than for those under anger and fear, and it was shorter under neutral than under fearful conditions. The ERP results showed that about 100 ms after multiplication estimation task onset, multiplication estimation execution in the context of happiness (vs. neutral) elicited smaller P1 amplitudes; about 170 ms after multiplication estimation task onset, the N170 amplitudes elicited by multiplication estimation strategy execution under different emotional priming conditions showed no significant differences. The above results showed that the impact of emotion priming demonstrates the occurrence of a dynamic process when participants use a specified strategy to complete the multiplication estimation task. The present study revealed that emotional valence modulated arithmetic strategy execution, suggesting the role of different emotions should be fully considered in similar study.

Brain-mechanistic responses to varying difficulty levels of approximate solutions to arithmetic problems

Approximate strategies are crucial in daily human life. The studies on the “difficulty effect” seen in approximate complex arithmetic have long been neglected. Here, we aimed to explore the brain mechanisms related to this difficulty effect in the case of complex addition, using event-related potential-based methods. Following previous path-finding studies, we used the inequality paradigm and different split sizes to induce the use of two approximate strategies for different difficulty levels. By comparing dependent variables from the medium- and large-split conditions, we anticipated being able to dissociate the effects of task difficulty based on approximate strategy in electrical components. In the fronto−central region, early P2 (150–250 ms) and an N400-like wave (250–700 ms) were significantly different between different difficulty levels. Differences in P2 correlated with the difficulty of separation of the approximate strategy from the early physical stimulus discrimination process, which is dominant before 200 ms, and differences in the putative N400 correlated with different difficulties of approximate strategy execution. Moreover, this difference may be linked to speech processing. In addition, differences were found in the fronto-central region, which may reflect the regulatory role of this part of the cortex in approximate strategy execution when solving complex arithmetic problems.

Arithmetic split effect in complex subtractions: an event-related potential study

This study explores the relationship between the split effect and the use of exact versus approximate strategies in complex-subtraction calculations. One-hundred and two-digit subtraction problems were presented, with half of them being small-split problems with answers ±2 or ±5 from 50 and the other half being large-split problems with answers ±10 or ±15 from 50. Participants were asked to indicate whether the answer was less than 50. The measures were speed and accuracy of task performance, and high temporal resolution event-related potentials. Behavioral data showed that participants had a longer time requirement and a lower accuracy in solving small-split problems than in solving large-split problems. Event-related potential data show that, comparatively, the small-split problems led to more-negative, more-lateralized waves as early as 250 ms at frontal, frontocentral, and central sites. Our results, which are in agreement with previous studies, suggest that the participants used exact strategies to solve small-split problems and approximate strategies to solve large-split problems when performing complex subtractions. These results further our understanding of the brain mechanisms underlying the relationship between small/large-split effects and exact/approximate strategies in this task domain.

The arithmetic problem size effect in children: an event-related potential study

This study used for the first time event-related potentials (ERPs) to examine the well-known arithmetic problem size effect in children. The electrophysiological correlates of this problem size effect have been well documented in adults, but such information in children is lacking. In the present study, 22 typically developing 12-year-olds were asked to solve single-digit addition problems of small (sum ≤ 10) and large problem size (sum > 10) and to speak the solution into a voice key while ERPs were recorded. Children displayed similar early and late components compared to previous adult studies on the problem size effect. There was no effect of problem size on the early components P1, N1, and P2. The peak amplitude of the N2 component showed more negative potentials on left and right anterior electrodes for large additions compared to small additions, which might reflect differences in attentional and working memory resources between large and small problems. The mean amplitude of the late positivity component which follows the N2, was significantly larger for large than for small additions at right parieto-occipital electrodes, in line with previous adult data. The ERPs of the problem size effect during arithmetic might be a useful neural marker for future studies on fact retrieval impairments in children with mathematical difficulties.

The influence of cardiorespiratory fitness on strategic, behavioral, and electrophysiological indices of arithmetic cognition in preadolescent children

The current study investigated the influence of cardiorespiratory fitness on arithmetic cognition in forty 9-10 year old children. Measures included a standardized mathematics achievement test to assess conceptual and computational knowledge, self-reported strategy selection, and an experimental arithmetic verification task (including small and large addition problems), which afforded the measurement of event-related brain potentials (ERPs). No differences in math achievement were observed as a function of fitness level, but all children performed better on math concepts relative to math computation. Higher fit children reported using retrieval more often to solve large arithmetic problems, relative to lower fit children. During the arithmetic verification task, higher fit children exhibited superior performance for large problems, as evidenced by greater d' scores, while all children exhibited decreased accuracy and longer reaction time for large relative to small problems, and incorrect relative to correct solutions. On the electrophysiological level, modulations of early (P1, N170) and late ERP components (P3, N400) were observed as a function of problem size and solution correctness. Higher fit children exhibited selective modulations for N170, P3, and N400 amplitude relative to lower fit children, suggesting that fitness influences symbolic encoding, attentional resource allocation and semantic processing during arithmetic tasks. The current study contributes to the fitness-cognition literature by demonstrating that the benefits of cardiorespiratory fitness extend to arithmetic cognition, which has important implications for the educational environment and the context of learning.